Answer:
16
Step-by-step explanation:
192/12=16
hope this helps :3
if it did pls mark brainliest
Answer:
![\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D)
Step-by-step explanation:
Hi there!
We are given the following expression:
÷![\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D)
And we would like to solve it
Whenever we are dividing fractions, we are actually multiplying the first fraction (in this case, 1/6) by the reciprocal of the second fraction (in this case, 1/5), which is the "flipped" version of that fraction; the value that is in the numerator becomes the value in the denominator, and the value in the denominator becomes the value in the numerator.
So the reciprocal of 1/5 is 5/1, or 5/1
So we will multiply 1/6 by 5
![\frac{1}{6} * 5 = \frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D%20%2A%205%20%3D%20%5Cfrac%7B5%7D%7B6%7D)
The fraction is in the simplest form; 5/6 is the answer.
Hope this helps!
Answer:
x = 2/7 or 0.285714
Step-by-step explanation:
Your welcome :)
If your solving for x, then the new equation is ![x=-y+10](https://tex.z-dn.net/?f=x%3D-y%2B10)
If your solving for y, then the new equation is ![y=-x+10](https://tex.z-dn.net/?f=y%3D-x%2B10)
Answers:
Speed of Wind = 23 km/hr
Speed of Plane in Still Air = 135 km/hr
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Explanation:
First let's go over two definitions
Headwind = wind that is flowing in the opposite direction of the plane's direction of movement; i.e., wind that is coming from the head direction. Headwinds slow the plane down
Tailwind = wind that is coming from the tail of the plane and moving in the same direction as the plane's destination. Tailwinds speed the plane up
=======================
Let
w = speed of wind
p = speed of plane in still air
both speeds are in km/hr
With a tailwind, the plane will speed up so it will go from p to p+w. Therefore, the first equation is
p+w = 158
since the new speed (wind+plane's movement without wind) is 158 km/hr
Similarly, in a headwind, the speed reduces to 112 so
p-w = 112
because we take the plane's speed p and subtract off the wind speed w that slows down the overall speed
=======================
The system of equations is
p+w = 158
p-w = 112
Add up the equations and notice how w cancels
p+w = 158
p-w = 112
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2p+0w = 270
Leading us to
2p = 270
2p/2 = 270/2
p = 135
The speed of the plane in still air is 135 km/hr
=======================
Use p = 135 to find w
p+w = 158
135+w = 158
135+w-135 = 158-135
w = 23
The speed of the wind is 23 km/hr